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Finding the Fourth Proportional to 371.60, 509.08 and 357.75

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Solution

The fourth proportional to 371.60, 509.08 and 357.75 is: 490.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 509.08 = 357.75 : x
  2. Step 2: Convert to fraction form
    371.60/509.08 = 357.75/x
  3. Step 3: Cross multiply
    371.60x = 509.08 × 357.75
  4. Step 4: Simplify right side
    371.60x = 182,123.37
  5. Step 5: Solve for x
    x = 182,123.37/371.60
  6. Step 6: Final answer
    x = 490.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.